To model the situation where you start with $314 and spend $25 per day, we can set up the equation in the form \( y = mx + b \), where:
- \( y \) is the amount of money left,
- \( x \) is the number of days you've been on the trip,
- \( m \) is the rate of decrease in your funds per day, which is \(-25\) (since you're spending money), and
- \( b \) is the initial amount of money you have, which is \(314\).
Using this information, we can write the equation:
\[ y = -25x + 314 \]
So, the complete equation is \( y = -25x + 314 \).